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1 /*
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2 File Name: MIRDWT.c
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3 Last Modification Date: 06/14/95 16:22:45
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4 Current Version: MIRDWT.c 2.4
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5 File Creation Date: Wed Oct 12 08:44:43 1994
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6 Author: Markus Lang <lang@jazz.rice.edu>
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7
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8 Copyright (c) 2000 RICE UNIVERSITY. All rights reserved.
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9 Created by Markus Lang, Department of ECE, Rice University.
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10
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11 This software is distributed and licensed to you on a non-exclusive
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12 basis, free-of-charge. Redistribution and use in source and binary forms,
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13 with or without modification, are permitted provided that the following
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14 conditions are met:
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15
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16 1. Redistribution of source code must retain the above copyright notice,
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17 this list of conditions and the following disclaimer.
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18 2. Redistribution in binary form must reproduce the above copyright notice,
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19 this list of conditions and the following disclaimer in the
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20 documentation and/or other materials provided with the distribution.
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21 3. All advertising materials mentioning features or use of this software
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22 must display the following acknowledgment: This product includes
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23 software developed by Rice University, Houston, Texas and its contributors.
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24 4. Neither the name of the University nor the names of its contributors
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25 may be used to endorse or promote products derived from this software
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26 without specific prior written permission.
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27
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28 THIS SOFTWARE IS PROVIDED BY WILLIAM MARSH RICE UNIVERSITY, HOUSTON, TEXAS,
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29 AND CONTRIBUTORS AS IS AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING,
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30 BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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31 FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL RICE UNIVERSITY
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32 OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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33 EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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34 PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
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35 OR BUSINESS INTERRUPTIONS) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
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36 WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
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37 OTHERWISE), PRODUCT LIABILITY, OR OTHERWISE ARISING IN ANY WAY OUT OF THE
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38 USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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39
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40 For information on commercial licenses, contact Rice University's Office of
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41 Technology Transfer at techtran@rice.edu or (713) 348-6173
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42
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43 Change History: Fixed the code such that 1D vectors passed to it can be in
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44 either passed as a row or column vector. Also took care of
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45 the code such that it will compile with both under standard
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46 C compilers as well as for ANSI C compilers
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47 Jan Erik Odegard <odegard@ece.rice.edu> Wed Jun 14 1995
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48
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49 Fix minor bug to allow maximum number of levels
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50
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51 MATLAB description:
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52 %function x = mirdwt(yl,yh,h,L);
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53 %
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54 % function computes the inverse redundant discrete wavelet transform y for a
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55 % 1D or 2D input signal. redundant means here that the subsampling after
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56 % each stage of the forward transform has been omitted. yl contains the
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57 % lowpass and yl the highpass components as computed, e.g., by mrdwt. In
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58 % case of a 2D signal the ordering in yh is [lh hl hh lh hl ... ] (first
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59 % letter refers to row, second to column filtering).
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60 %
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61 % Input:
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62 % yl : lowpass component
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63 % yh : highpass components
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64 % h : scaling filter
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65 % L : number of levels. in case of a 1D signal length(yl) must be
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66 % divisible by 2^L; in case of a 2D signal the row and the
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67 % column dimension must be divisible by 2^L.
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68 %
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69 % Output:
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70 % x : finite length 1D or 2D signal
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71 %
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72 % see also: mdwt, midwt, mrdwt
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73
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74 */
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75 #include <math.h>
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76 #include <stdio.h>
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77 #include <inttypes.h>
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78
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79 #define max(a, b) ((a) > (b) ? (a) : (b))
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80 #define mat(a, i, j) (*(a + (m*(j)+i))) /* macro for matrix indices */
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81
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82 #ifdef __STDC__
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83 MIRDWT(double *x, uintptr_t m, uintptr_t n, double *h, uintptr_t lh, uintptr_t L,
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84 double *yl, double *yh)
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85 #else
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86 MIRDWT(x, m, n, h, lh, L, yl, yh)
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87 double *x, *h, *yl, *yh;
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88 uintptr_t m, n, lh, L;
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89 #endif
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90 {
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91 double *g0, *g1, *ydummyll, *ydummylh, *ydummyhl;
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92 double *ydummyhh, *xdummyl , *xdummyh, *xh;
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93 long i, j;
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94 uintptr_t actual_L, actual_m, actual_n, c_o_a, ir, n_c, n_cb, n_c_o, lhm1;
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95 uintptr_t ic, n_r, n_rb, n_r_o, c_o_a_p2n, sample_f;
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96 xh = (double *)(uintptr_t)mxCalloc(m*n,sizeof(double));
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97 xdummyl = (double *)(uintptr_t)mxCalloc(max(m,n),sizeof(double));
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98 xdummyh = (double *)(uintptr_t)mxCalloc(max(m,n),sizeof(double));
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99 ydummyll = (double *)(uintptr_t)mxCalloc(max(m,n)+lh-1,sizeof(double));
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100 ydummylh = (double *)(uintptr_t)mxCalloc(max(m,n)+lh-1,sizeof(double));
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101 ydummyhl = (double *)(uintptr_t)mxCalloc(max(m,n)+lh-1,sizeof(double));
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102 ydummyhh = (double *)(uintptr_t)mxCalloc(max(m,n)+lh-1,sizeof(double));
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103 g0 = (double *)(uintptr_t)mxCalloc(lh,sizeof(double));
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104 g1 = (double *)(uintptr_t)mxCalloc(lh,sizeof(double));
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105
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106 if (n==1){
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107 n = m;
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108 m = 1;
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109 }
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110 /* analysis lowpass and highpass */
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111 for (i=0; i<lh; i++){
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112 g0[i] = h[i]/2;
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113 g1[i] = h[lh-i-1]/2;
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114 }
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115 for (i=1; i<=lh; i+=2)
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116 g1[i] = -g1[i];
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117
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118 lhm1 = lh - 1;
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119 /* 2^L */
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120 sample_f = 1;
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121 for (i=1; i<L; i++)
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122 sample_f = sample_f*2;
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123 actual_m = m/sample_f;
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124 actual_n = n/sample_f;
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125 /* restore yl in x */
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126 for (i=0;i<m*n;i++)
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127 x[i] = yl[i];
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128
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129 /* main loop */
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130 for (actual_L=L; actual_L >= 1; actual_L--){
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131 /* actual (level dependent) column offset */
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132 if (m==1)
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133 c_o_a = n*(actual_L-1);
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134 else
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135 c_o_a = 3*n*(actual_L-1);
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136 c_o_a_p2n = c_o_a + 2*n;
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137
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138 /* go by columns in case of a 2D signal*/
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139 if (m>1){
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140 n_rb = m/actual_m; /* # of row blocks per column */
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141 for (ic=0; ic<n; ic++){ /* loop over column */
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142 for (n_r=0; n_r<n_rb; n_r++){ /* loop within one column */
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143 /* store in dummy variables */
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144 ir = -sample_f + n_r;
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145 for (i=0; i<actual_m; i++){
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146 ir = ir + sample_f;
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147 ydummyll[i+lhm1] = mat(x, ir, ic);
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148 ydummylh[i+lhm1] = mat(yh, ir, c_o_a+ic);
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149 ydummyhl[i+lhm1] = mat(yh, ir,c_o_a+n+ic);
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150 ydummyhh[i+lhm1] = mat(yh, ir, c_o_a_p2n+ic);
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151 }
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152 /* perform filtering and adding: first LL/LH, then HL/HH */
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153 bpconv(xdummyl, actual_m, g0, g1, lh, ydummyll, ydummylh);
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154 bpconv(xdummyh, actual_m, g0, g1, lh, ydummyhl, ydummyhh);
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155 /* store dummy variables in matrices */
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156 ir = -sample_f + n_r;
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157 for (i=0; i<actual_m; i++){
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158 ir = ir + sample_f;
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159 mat(x, ir, ic) = xdummyl[i];
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160 mat(xh, ir, ic) = xdummyh[i];
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161 }
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162 }
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163 }
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164 }
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165
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166 /* go by rows */
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167 n_cb = n/actual_n; /* # of column blocks per row */
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168 for (ir=0; ir<m; ir++){ /* loop over rows */
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169 for (n_c=0; n_c<n_cb; n_c++){ /* loop within one row */
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170 /* store in dummy variable */
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171 ic = -sample_f + n_c;
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172 for (i=0; i<actual_n; i++){
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173 ic = ic + sample_f;
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174 ydummyll[i+lhm1] = mat(x, ir, ic);
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175 if (m>1)
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176 ydummyhh[i+lhm1] = mat(xh, ir, ic);
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177 else
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178 ydummyhh[i+lhm1] = mat(yh, ir, c_o_a+ic);
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179 }
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180 /* perform filtering lowpass/highpass */
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181 bpconv(xdummyl, actual_n, g0, g1, lh, ydummyll, ydummyhh);
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182 /* restore dummy variables in matrices */
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183 ic = -sample_f + n_c;
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184 for (i=0; i<actual_n; i++){
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185 ic = ic + sample_f;
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186 mat(x, ir, ic) = xdummyl[i];
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187 }
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188 }
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189 }
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190 sample_f = sample_f/2;
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191 actual_m = actual_m*2;
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192 actual_n = actual_n*2;
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193 }
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194 }
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195
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196 #ifdef __STDC__
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197 bpconv(double *x_out, uintptr_t lx, double *g0, double *g1, uintptr_t lh,
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198 double *x_inl, double *x_inh)
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199 #else
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200 bpconv(x_out, lx, g0, g1, lh, x_inl, x_inh)
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201 double *x_inl, *x_inh, *g0, *g1, *x_out;
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202 uintptr_t lx, lh;
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203 #endif
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204 {
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205 uintptr_t i, j;
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206 double x0;
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207
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208 for (i=lh-2; i > -1; i--){
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209 x_inl[i] = x_inl[lx+i];
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210 x_inh[i] = x_inh[lx+i];
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211 }
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212 for (i=0; i<lx; i++){
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213 x0 = 0;
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214 for (j=0; j<lh; j++)
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215 x0 = x0 + x_inl[j+i]*g0[lh-1-j] +
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216 x_inh[j+i]*g1[lh-1-j];
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217 x_out[i] = x0;
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218 }
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219 }
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